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1322340100400 = 245211300531841
BaseRepresentation
bin10011001111100001100…
…111001010100100110000
311200102012011012010202002
4103033201213022210300
5133131123031203100
62451250305313132
7164351551253414
oct23174147124460
94612164163662
101322340100400
1146a88a571290
121943410357a8
1397908547667
144800457ad44
15245e53342d5
hex133e19ca930

1322340100400 has 60 divisors (see below), whose sum is σ = 3465733201944. Its totient is φ = 480850944000.

The previous prime is 1322340100399. The next prime is 1322340100427. The reversal of 1322340100400 is 40010432231.

It is a super-2 number, since 2×13223401004002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150261521 + ... + 150270320.

Almost surely, 21322340100400 is an apocalyptic number.

1322340100400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1322340100400 is an abundant number, since it is smaller than the sum of its proper divisors (2143393101544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1322340100400 is a wasteful number, since it uses less digits than its factorization.

1322340100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300531870 (or 300531859 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1322340100400 its reverse (40010432231), we get a palindrome (1362350532631).

The spelling of 1322340100400 in words is "one trillion, three hundred twenty-two billion, three hundred forty million, one hundred thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 300531841 601063682 1202127364 1502659205 2404254728 3005318410 3305850251 4808509456 6010636820 6611700502 7513296025 12021273640 13223401004 15026592050 16529251255 24042547280 26446802008 30053184100 33058502510 52893604016 60106368200 66117005020 82646256275 120212736400 132234010040 165292512550 264468020080 330585025100 661170050200 1322340100400